100113221231329 has 2 divisors, whose sum is σ = 100113221231330. Its totient is φ = 100113221231328.

The previous prime is 100113221231327. The next prime is 100113221231399. The reversal of 100113221231329 is 923132122311001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52163856227025 + 47949365004304 = 7222455^2 + 6924548^2 .

It is an emirp because it is prime and its reverse (923132122311001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100113221231329 - 2¹ = 100113221231327 is a prime.

It is a super-2 number, since 2×100113221231329² (a number of 29 digits) contains 22 as substring.

Together with 100113221231327, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100113221231329.

It is not a weakly prime, because it can be changed into another prime (100113221231327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056610615664 + 50056610615665.

It is an arithmetic number, because the mean of its divisors is an integer number (50056610615665).

Almost surely, 2^{100113221231329} is an apocalyptic number.

It is an amenable number.

100113221231329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113221231329 is an equidigital number, since it uses as much as digits as its factorization.

100113221231329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 100113221231329 in words is "one hundred trillion, one hundred thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand, three hundred twenty-nine".